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Elements of Phase Transitions and Critical Phenomena

Hidetoshi Nishimori and Gerardo Ortiz

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into ... More


Elements of reaction theory

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0018
Subject:
Physics, Nuclear and Plasma Physics

This chapter derives formulas for gross sections of potential scattering, and shows their generalizations to nuclear reactions. A projection technique is introduced, which allows one to separate in ... More


Propagation of X-rays in highly deformed crystals

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0014
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter concerns highly deformed crystals where the Eikonal approximation is no longer valid. An expression is given for the limit of validity of this approximation. Takagi's equations are ... More


Unimolecular reactions

Niels E. Henriksen and Flemming Y. Hansen

in Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199203864
eISBN:
9780191708251
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199203864.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter considers unimolecular reactions; photo-induced reactions, i.e. true unimolecular reactions; and reactions initiated by collisional activation, i.e. apparent unimolecular reactions where ... More


Renormalization group: General formulation

Jean Zinn-Justin

in Phase Transitions and Renormalization Group

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces the general concept of renormalization group in the spirit of the work. It studies the role of fixed points and their stability properties. It exhibits a particular fixed ... More


Deductive Development of the Theory

John von Neumann

Nicholas A. Wheeler (ed.)

in Mathematical Foundations of Quantum Mechanics: New Edition

Published in print:
2018
Published Online:
September 2018
ISBN:
9780691178561
eISBN:
9781400889921
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691178561.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides the fundamental basis of the statistical theory, building on the formula introduced in the previous chapter, before elaborating proofs of the statistical formulas. From these, ... More


The O(N) symmetric (ϕ2)2 field theory in the large N limit

Jean Zinn-Justin

in Phase Transitions and Renormalization Group

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199227198
eISBN:
9780191711107
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227198.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter studies a statistical field theory with an O(N) orthogonal symmetry and a (f2)2 interaction (denoted here by f = (f1, . . . , fN) the N-component field rather than s, in contrast with ... More


Basic Concepts

M. E. LINES and A. M. GLASS

in Principles and Applications of Ferroelectrics and Related Materials

Published in print:
2001
Published Online:
February 2010
ISBN:
9780198507789
eISBN:
9780191709944
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507789.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book looks at some concepts leading to a basic understanding of ferroelectricity. Depending on their geometry, crystals are commonly classified into seven systems: triclinic (the least ... More


Statistical field theory

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0026
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

There is a rather subtle connection between quantum field theory and statistical physics, and this is explored here, where the concepts of imaginary time and the Wick rotation are introduced.


Unimolecular Reactions

Niels Engholm Henriksen and Flemming Yssing Hansen

in Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics

Published in print:
2018
Published Online:
November 2018
ISBN:
9780198805014
eISBN:
9780191843129
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805014.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers unimolecular reactions; photo-induced reactions, that is, true unimolecular reactions; and reactions initiated by collisional activation, that is, apparent unimolecular ... More


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